Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bj |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53734942941069312 = 214 · 312 · 133 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6744891,-6742328726] |
[a1,a2,a3,a4,a6] |
j |
11364780258971694073/17995723668 |
j-invariant |
L |
0.74945550083711 |
L(r)(E,1)/r! |
Ω |
0.093681937050683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12402j2 33072t2 |
Quadratic twists by: -4 -3 |